Consider the differential equation: y = 3y - 2x Using a pencil, graph the isoclines. Also, using a pen, graph the slope field, as well as three solutions satisfying each of the three conditions: y(0) = 0, y(0) = 1, y(0)=-1.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
icon
Related questions
Question
Please give me answer very fast in 5 min
Consider the differential equation:
y = 3y - 2x
Using a pencil, graph the isoclines. Also, using a pen, graph the slope field, as well as three
solutions satisfying each of the three conditions: y(0) = 0, y(0) = 1, y(0)=- 1.
3y-2X=1T => y = (2x +k)
3x
y = ²/3 x +ce ³*
for y(o) => C=0 => y = /2x
for y(o)=1
C= 1
ce
// (0) + (2²(0)
So, y = 2/x +e³x
Transcribed Image Text:Consider the differential equation: y = 3y - 2x Using a pencil, graph the isoclines. Also, using a pen, graph the slope field, as well as three solutions satisfying each of the three conditions: y(0) = 0, y(0) = 1, y(0)=- 1. 3y-2X=1T => y = (2x +k) 3x y = ²/3 x +ce ³* for y(o) => C=0 => y = /2x for y(o)=1 C= 1 ce // (0) + (2²(0) So, y = 2/x +e³x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 20 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage